Characterizations of convex and quasiconvex set-valued maps

The aim of this paper is to characterize in terms of classical convexity and quasiconvexity of extended real-valued functions those set-valued maps which are K-convex or K-quasiconvex with respect to a convex cone K. In particular, we recover some known characterizations of K-convex and K-quasiconvex vector-valued functions. Copyright Springer-Verlag Berlin Heidelberg 2003

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Year of publication:	2003
Authors:	Benoist, Joël ; Popovici, Nicolae
Published in:	Computational Statistics. - Springer. - Vol. 57.2003, 3, p. 427-435
Publisher:	Springer
Subject:	Generalized convex set-valued maps \| scalarization \| polar cones

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Extent:	text/html
Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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